论文标题
关于$ l^p（μ，x）$的规范紧凑性的评论
Remark on norm compactness in $L^p(μ, X)$
论文作者
论文摘要
我们证明，$ l^p（μ，x）$：$ l^p（μ，x）$的子集的紧凑性标准相对固定，如果其功能的积分集相对固定，则相对较差，它可以满足Fréchet振动限制条件，并且它是p-nouripallifiction os-semblectial osclional oscilliation untibles and p-soblectial oscill oscill oscilliage ossect。证明是基本的。
We prove a compactness criterion in $L^p(μ,X)$: a subset of $L^p(μ,X)$ is relatively norm compact iff the set of integrals of its functions over any measurable set is relatively norm compact, it satisfies the Fréchet oscillation restriction condition and it is p-uniformly integrable. The proof is elementary.
